The number 87243
87243 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 2237. Divisors (8): 1, 3, 13, 39, 2237, 6711, 29081, 87243.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
87243 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87243 is composite. Its prime factorisation is
- 3
The divisors add up to 125328; without 87243 itself that is 38085, so 87243 is deficient (38085 is less than 87243). Euler's totient φ(87243) = 53664 numbers up to 87243 share no factor with it.
- 4
The digits of 87243 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87243 = 3 \times 13 \times 2237 \]
87243 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 125328 |
| Euler totient φ(n) | 53664 |
| Square | 7611341049 |
| Cube | 664036227137907 |
| Square root | 295.369260 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 58 |
| Scientific notation | 8.7243 × |
87243 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand two hundred and forty-three |
| Binary (base 2) | 10101010011001011 |
| Octal (base 8) | 252313 |
| Hexadecimal (base 16) | 154CB |
| Base 3 | 11102200020 |
| As time | 87243 seconds = 24 h 14 min 3 s |
Is 87243 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87243 ÷ 3 = 29081) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87243 a prime number?
No. 87243 = 3 × 13 × 2237, so it is divisible by 3.
What are the factors of 87243?
1, 3, 13, 39, 2237, 6711, 29081, 87243.
What is 87243 in binary?
10101010011001011 (hexadecimal 154CB, octal 252313).
What is the square root of 87243?
About 295.3693.
Is 87243 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 87243?
It is a composite number with 8 divisors.